Fitzpatrick transform of monotone relations in Hadamard spaces

In the present paper, monotone relations and maximal monotone relations from an Hadamard space to its linear dual space are investigated. Fitzpatrick transform of monotone relations in Hadamard spaces is introduced. It is shown that Fitzpatrick transform of a special class of monotone relations is p...

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Veröffentlicht in:	Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică 2020-07, Vol.28 (2), p.173-193
Hauptverfasser:	Moslemipour, A., Roohi, M., Mardanbeigi, M. R., Azhini, M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Fitzpatrick transform flat Hadamard spaces Hadamard spaces Mathematics Mathematics, Applied Monotone relations Physical Sciences Primary 47H05 Science & Technology Secondary 47H04 ℝ-tree space
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Zusammenfassung:	In the present paper, monotone relations and maximal monotone relations from an Hadamard space to its linear dual space are investigated. Fitzpatrick transform of monotone relations in Hadamard spaces is introduced. It is shown that Fitzpatrick transform of a special class of monotone relations is proper, convex and lower semi-continuous. Finally, a representation result for monotone relations is given.
ISSN:	1224-1784 1844-0835 1844-0835
DOI:	10.2478/auom-2020-0026